Understanding Hadron Structure through Electron-Positron Collisions

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    Hadron Structure
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Discussion Overview

The discussion revolves around the interpretation of hadron structure as described in Halzen and Martin's book, specifically focusing on the representation of positrons in diagrams related to electron-positron collisions. Participants explore the implications of these diagrams for understanding particle interactions and clarify terminology such as "produced at rest."

Discussion Character

  • Technical explanation, Conceptual clarification, Debate/contested

Main Points Raised

  • One participant questions the representation of the positron arrow in a diagram, suggesting it appears to move forward in time, while others note that this may depend on convention.
  • Another participant clarifies that "produced at rest" means the photon has no momentum in the laboratory frame.
  • There is a discussion about the flow of time in diagrams, with one participant initially confused but later stating that time flows horizontally from left to right.
  • A participant distinguishes between Feynman diagrams and particle flow diagrams, asserting that the arrows in the latter represent particle flow rather than time direction.

Areas of Agreement / Disagreement

Participants express differing views on the interpretation of the diagrams, particularly regarding the representation of time and the nature of the diagrams themselves. No consensus is reached on these points.

Contextual Notes

Participants reference specific figures and diagrams from the book, indicating that their interpretations may depend on the definitions and conventions used in particle physics.

maverick280857
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Hi,

Halzen and Martin, on page 18 of their book, describe the resolution of hadron structure using virtual photons obtained by annihilating e+ and e- beams.

In Figure 1.11(b), isn't the positron arrow shown wrongly? It seems to be moving forward in time. (Or maybe I'm just being picky here?)

They go on to say,

Colliding very high-energy electron and positron beams also provides us with an extremely "clean" technique to probe quarks (see Fig. 1.11b). The photon, produced at rest by e+ and e- beams colliding head on, can decay into a qqbar pair as shown in the pictuire.

What does "produced at rest" mean?

Thanks in advance!
 
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maverick280857 said:
In Figure 1.11(b), isn't the positron arrow shown wrongly? It seems to be moving forward in time. (Or maybe I'm just being picky here?)
It depends on one's convention, but it is inconsistent with their e+e- annihilation diagram 6.13
maverick280857 said:
What does "produced at rest" mean?
It means it has no momentum in the lab.
 
humanino said:
It depends on one's convention, but it is inconsistent with their e+e- annihilation diagram 6.13
It means it has no momentum in the lab.

Thanks, I guess time runs vertically here.
 
maverick280857 said:
Thanks, I guess time runs vertically here.

Actually I was confused. There is no inconsistency. Time always flows horizontally from left to right it seems. Also, it seems the arrow always points in the direction of positive energy.
 
Nah, the problem is it's not a Feynman diagram, its a particle flow diagram. The arrows here basically correspond to particle flow. They're just trying to show that an e+ coming in and an e- coming in annihilate.
 

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